{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UWUXCYR635TJZEGNRTA3SEKNM2","short_pith_number":"pith:UWUXCYR6","schema_version":"1.0","canonical_sha256":"a5a971623edf669c90cd8cc1b9114d66b5ebb7965fcbca58bb37ec8d421ec6ed","source":{"kind":"arxiv","id":"1904.03220","version":2},"attestation_state":"computed","paper":{"title":"Effective interactions between local hopping modulations on the square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Huu T. Do, Khagendra Adhikari, K. S. D. Beach","submitted_at":"2019-04-05T18:24:58Z","abstract_excerpt":"We address the problem of free fermions interacting with frozen gauge fields. In particular, we consider a tight-binding model of fermions on the square lattice in which (i) flux 0 or $\\pi$ is threaded through each plaquette and (ii) each nearest-neighbor link is decorated with an Ising degree of freedom that describes the local modulation of the hopping amplitude. Following the standard Ruderman--Kittel--Kasuya--Yosida (RKKY) approach, we compute an effective spin model in the coupling strength order by order. Unlike the original RRKY result for site-centered SU(2) spins in which the leading "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.03220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-05T18:24:58Z","cross_cats_sorted":[],"title_canon_sha256":"2d9310a7edef19157b515d2632ce9e6f91e37590830f6c9ddf226f01429d220c","abstract_canon_sha256":"01b2ec6c8265418584865d4bd39561272eb209f17302e0f6663a7caec249e6fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:25.727057Z","signature_b64":"PkddWmdx0wQ2L9Kan6qdt08QaeaniyN7HRjDXziOUAXCs1Es9ouA/oeDTTflSGU0ziEmLxTayqaLR0AzILiRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5a971623edf669c90cd8cc1b9114d66b5ebb7965fcbca58bb37ec8d421ec6ed","last_reissued_at":"2026-05-17T23:45:25.726470Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:25.726470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective interactions between local hopping modulations on the square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Huu T. Do, Khagendra Adhikari, K. S. D. Beach","submitted_at":"2019-04-05T18:24:58Z","abstract_excerpt":"We address the problem of free fermions interacting with frozen gauge fields. In particular, we consider a tight-binding model of fermions on the square lattice in which (i) flux 0 or $\\pi$ is threaded through each plaquette and (ii) each nearest-neighbor link is decorated with an Ising degree of freedom that describes the local modulation of the hopping amplitude. Following the standard Ruderman--Kittel--Kasuya--Yosida (RKKY) approach, we compute an effective spin model in the coupling strength order by order. Unlike the original RRKY result for site-centered SU(2) spins in which the leading "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03220","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.03220","created_at":"2026-05-17T23:45:25.726569+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.03220v2","created_at":"2026-05-17T23:45:25.726569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03220","created_at":"2026-05-17T23:45:25.726569+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWUXCYR635TJ","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWUXCYR635TJZEGN","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWUXCYR6","created_at":"2026-05-18T12:33:30.264802+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2","json":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2.json","graph_json":"https://pith.science/api/pith-number/UWUXCYR635TJZEGNRTA3SEKNM2/graph.json","events_json":"https://pith.science/api/pith-number/UWUXCYR635TJZEGNRTA3SEKNM2/events.json","paper":"https://pith.science/paper/UWUXCYR6"},"agent_actions":{"view_html":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2","download_json":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2.json","view_paper":"https://pith.science/paper/UWUXCYR6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.03220&json=true","fetch_graph":"https://pith.science/api/pith-number/UWUXCYR635TJZEGNRTA3SEKNM2/graph.json","fetch_events":"https://pith.science/api/pith-number/UWUXCYR635TJZEGNRTA3SEKNM2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2/action/storage_attestation","attest_author":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2/action/author_attestation","sign_citation":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2/action/citation_signature","submit_replication":"https://pith.science/pith/UWUXCYR635TJZEGNRTA3SEKNM2/action/replication_record"}},"created_at":"2026-05-17T23:45:25.726569+00:00","updated_at":"2026-05-17T23:45:25.726569+00:00"}